Question

Write an equation.

Find the constant of proportionality and write an equation for the proportional relationship.

y = 10 and x = 8

Answer 1

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

`y\propto x`

`y=kx` ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

`10=k(8)`

`(10)/(8)=k`

`(5)/(4)=k`

Putting
`k=(5)/(4)` in (i), we get

`y=(5)/(4)x`

Therefore, the contestant of proportionality is
`k=(5)/(4)` and the equation for the proportional relationship is
`y=(5)/(4)x`.